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Circumference of a Circle Word Problems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

An architect is making a plan for a new circular playground. If the picture below is the playground, how much fencing needs to go up to keep the kids in the circle? Use 3.14 for π.

a)

3,215 m

b)

201 m

c)

402 m

d)

100 m

2.

The circumference of a circle is 36.31 meters. What is the approximate length of the radius? Use 3.14 for π.

a)

3 m

b)

4 m

c)

5 m

d)

6 m

3.

The radius of a birthday cake is 4 inches. Icing will decorate the circumference of the cake. What procedure can be used to find the approximate circumference of the cake? Use 3.14 for π.

a)

Multiply 4 by 3.14.

b)

Multiply 4 by 2, and then multiply the product by 3.14.

c)

Multiply 4 by 4, and then multiply the product by 3.14.

d)

Divide 4 by 2, and then multiply the quotient by 3.14.

4.

The circle represents a tablecloth that Angie bought. She wants to sew fringe along the edge of the tablecloth. How many of fringe does she need to buy? Use 3.14 for π.

a)

12.4 ft

b)

7.9 ft

c)

19.6 ft

d)

15.7 ft

5.

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?

a)

34.54 m

b)

1,519.76 m

c)

379.94 m

d)

69.08 m

6.

How many cookies are there?

a)

48 cookies

b)

24 cookies

c)

8 cookies

d)

4 cookies

7.
a)

15

b)

29

c)

46

d)

93

8.

Solve the word problem: A garden is designed in the shape of a circle with a diameter of 18 feet. What is the perimeter (circumference) of the garden? (Use π=3.14\pi = 3.14 )

a)

28.26 feet

b)

56.52 feet

c)

56.52 feet

d)

113.04 feet

9.

Jason painted a circular picture for his wife. The picture has a diameter of 20 inches. How many inches of frame would Jason need to purchase to surround the picture? Use 3.14 for pi

a)

Area

b)

Circumference

10.

The diameter of Joanne’s bicycle wheel is 18 inches. What is the circumference to the nearest tenth?

a)

28.3 in

b)

27 in

c)

56.5 in

d)

54 in

11.

A round pizza has a circumference of 44 inches. What is the diameter of the pizza? (Use π3.14\pi \approx 3.14 )

a)

14 inches

b)

7 inches

c)

22 inches

d)

28 inches

12.

Find the circumference. Round to the nearest tenth.

a)

18.8 cm.

b)

75.4 cm.

c)

37.7 cm.

d)

not enough information

13.

A circular garden has a diameter of 16 feet. A path of 2 feet wide runs around the outside of the garden. What is the circumference of the path? (Use π=3.14\pi = 3.14 )

a)

56.52 feet

b)

50.24 feet

c)

60.8 feet

d)

53.38 feet

14.

Find the circumference of the circle. Round to the nearest tenth.

a)

113.0 in.

b)

1017.4 in.

c)

254.3 in.

d)

56.5 in.

15.

The first Ferris wheel was built in 1893 in Chicago. Its diameter was 250 feet. How many feel did the Ferris wheel rotate with one complete turn? (Think the outside measurement of the circle.) Use 3.14 for π.

a)

785 ft

b)

390 ft

c)

912 ft

d)

543 ft

16.

The circumference of a circle is 18.41 feet. What is the approximate length of the radius? Use 3.14 for π.

a)

3 ft

b)

5 ft

c)

7 ft

d)

8 ft

17.

Mrs VanSciver bought a circular rug. The radius of the rug was 2.5 feet. How does the diameter of the rug compare to the radius? Use 3.14 for π.

a)

The diameter of the rug is twice the radius.

b)

The radius is twice the circumference.

c)

The diameter of the rug is half the radius.

d)

The diameter is twice the circumference.

18.

Jalen is making a circular pizza with a circumference of 44 inches. What is the approximate radius of Jalen's pizza. Use 3.14 for pi.

a)

14 inches

b)

7 inches

c)

22 inches

d)

88 inches

19.

Paige wants to sew lace around the edge of a round tablecloth. The table cloth has a diameter of 6 feet. About how much lace will Paige need?

a)

18.85 feet

b)

113.10 feet

c)

9.42 feet

d)

28.27 feet

20.

What is the approximate length of the radius of a circle with a circumference of 63 inches?

a)

4 in

b)

8 in

c)

10 in

d)

20 in